The invention relates to a bicycle provided with a gearwheel consisting of a transmission element (3) rigidly connected to a drive shaft (1), a gear rim (4) which comprises an internal toothed gearing and in front of which all other components of a hypocycloidal gearwheel are fixed, a planetary gear (5) which is provided with several gearings and engaged with the gearing of the gear rim (4) by one of the gearings thereof, a sliding member (8) disposed between the plurality of gearwheels (6) and an output shaft (2) and displaceable in the direction thereof between a plurality of positions in each of which one of the gearwheels (6) and said output shaft (2) are rigidly interconnected.